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Finding the Fourth Proportional to 424.31, 635.24 and 393.93

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Solution

The fourth proportional to 424.31, 635.24 and 393.93 is: 589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.31 : 635.24 = 393.93 : x
  2. Step 2: Convert to fraction form
    424.31/635.24 = 393.93/x
  3. Step 3: Cross multiply
    424.31x = 635.24 × 393.93
  4. Step 4: Simplify right side
    424.31x = 250,241.08
  5. Step 5: Solve for x
    x = 250,241.08/424.31
  6. Step 6: Final answer
    x = 589.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.